A 20 dB/decade corresponds to a slope of 1 in the context of frequency response in systems. This relationship arises because a 20 dB increase represents a tenfold increase in amplitude, which occurs over a decade (a tenfold change in frequency). The logarithmic nature of the decibel scale means that for every tenfold increase in frequency, the amplitude changes by 20 dB, establishing a linear relationship that is defined as slope 1. The discussion clarifies that while the term "slope 1" may not be universally recognized, it is applicable in this context of amplitude versus frequency.
PREREQUISITESElectrical engineers, audio engineers, and anyone involved in signal processing or control systems who seeks to understand the relationship between amplitude and frequency in terms of decibels.
mmmboh said:Can someone explain to me how a 20db/decade=slope 1? I've looked online, and read about 20db/decade, but I don't understand how it's a slope of 1? I get that decade is a factor of ten difference, and that log (10x/x)=1, but how does 20db change by a factor of 1 in that decade is a db is 20log(A/B)?